No doubt it is doable with the Arks, or other naturals. After all, when those old Sheffields were made it was common for Arkansas stones imported into Great Britain to be used for honing razors. Not to mention the Charnleys, Scotch hones, slates and what have you. I'm sure the USA folks were using them too. It is just that it takes a lot more time and patience.
A few years ago I took a shave ready Theirs Issard Super Gnome that needed a touch up to a La Veinette coticule. An 8x2 from Ardennes. The La Veinettes have the reputation of being one of the fastest coticules. I made a mark on paper every set of five round trips. I stropped after every 30 round trips and tried HHT. It took me over 160 round trips to get that razor where I felt it was satisfactory as far as HHT was concerned.
That razor turned out to be one of the best shaves I've ever had. Equal to any honed with any hone I've shaved with. OTOH, I started out with a basically shave ready razor that needed a touch up. Had it needed to have the bevel set and go on from there I'd probably still be honing it. Whether that was the fault of the hone, or the honer, I leave to the reader. :p